Results 191 to 200 of about 3,430 (271)

From Nash Equilibrium to Social Optimum and Back: A Mean Field Perspective. [PDF]

open access: yesAppl Math Optim
Carmona R   +3 more
europepmc   +1 more source

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson   +2 more
wiley   +1 more source

Methods for Uncertainty Quantification in Dictionary Matching to Advance Reliability of Quantitative MRI

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 4, Page 1956-1971, October 2026.
ABSTRACT Aims Purpose: Dictionary matching is a standard tool in quantitative MRI (qMRI), but typically lacks uncertainty quantification (UQ). This is critical when advanced reconstructions (e.g., compressed sensing, deep learning) introduce complex‐valued, spatially varying, and temporally correlated noise that violates standard assumptions of ...
Brian Toner   +7 more
wiley   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

Microscale FFT‐based modeling of artificial porous microstructures and analysis of macroscopic models under varying loading scenarios

open access: yesGAMM-Mitteilungen, Volume 49, Issue 3, September 2026.
Abstract This article investigates the modeling of metallic isotropic porous materials by evaluating and comparing macroscopic and microstructure‐resolved simulation approaches. At the macroscopic level, different variants of the Deshpande‐Fleck (DF) model are implemented to describe the elastoplastic behavior of metallic porous materials.
Julian Dahler   +2 more
wiley   +1 more source

Integrating axis quantitative trait loci looks beyond cell types and offers insights into brain-related traits. [PDF]

open access: yesNat Commun
Wang L   +8 more
europepmc   +1 more source

Single‐cell marker gene clustering: A unified deep learning framework for marker gene‐based clustering of single‐cell RNA‐sequencing data

open access: yesQuantitative Biology, Volume 14, Issue 3, September 2026.
Abstract Single‐cell RNA sequencing (scRNA‐seq) has transformed the study of cellular heterogeneity by making it possible to classify individual cells and their functional states. However, the analysis remains difficult because high dropout rates lead to sparse and noisy expression data.
Shahriar Rahman Niloy   +5 more
wiley   +1 more source

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